Find two solutions for each of the following equations :
$(i)$ $4 x+3 y=12$
$(ii)$ $2 x+5 y=0$
$(iii)$ $3 y+4=0$
Find two solutions for each of the following equations :
$(i)$ $4 x+3 y=12$
$(ii)$ $2 x+5 y=0$
$(iii)$ $3 y+4=0$
$ (i)$ Taking $x=0,$ we get $3 y=12,$ i.e., $y=4 .$ So, $(0,\,4)$ is a solution of the given equation. Similarly, by taking $y=0,$ we get $x=3 .$ Thus, $(3,\,0) $ is also a solution.
$(ii)$ Taking $x=0,$ we get $5 y=0,$ i.e., $y=0 .$ So $(0,\,0)$ is a solution of the given equation.
Now, if you take $y=0,$ you again get $(0,\,0)$ as a solution, which is the same as the earlier one. To get another solution, take $x=1,$ say. Then you can check that the corresponding value of $y$ is $-\frac{2}{5} \cdot$ So $\left(1,-\frac{2}{5}\right)$ is another solution of $2 x+5 y=0$
$(iii)$ Writing the equation $3 y+4=0$ as $0 . x+3 y+4=0,$ you will find that $y=-\frac{4}{3}$ for any value of $x$. Thus, two solutions can be given as $\left(0,-\frac{4}{3}\right)$ and $\left(1,-\frac{4}{3}\right)$.
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$F =\left(\frac{9}{5}\right) C +32$
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$(ii)$ If the temperature is $30\,^oC$, what is the temperature in Fahrenheit ?
$(iii)$ If the temperature is $95\,^oF$, what is the temperature in Celsius ?
$(iv)$ If the temperature is $0\,^oC$ , what is the temperature in Fahrenheit and if the temperature is $0\,^oF$ , what is the temperature in Celsius ?
$(v)$ Is there a temperature which is numerically the same in both Fahrenheit and Celsius ? If yes, find it.
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